Question

3. Evie is 5 1/2 feet tall and casts a 9 foot shadow. At the same time, a vtity pole casts a 30-foot shadow. How tall is the utlity pole?

Answer 1

This can be solve easily by taking ratios.

We can say:

5 1/2 feet casts 9 feet shadow, so

HOW MANY FEET (let it be x) will cast 30 feet shadow??

We can setup a ratio with this info:

`(5.5)/(9)=(x)/(30)`

Note: We took 5 1/2 feet as 5.5 feet (decimal)

Now, we cross multiply and solve for x:

`\begin{gathered} (5.5)/(9)=(x)/(30) \\ 9x=5.5*30 \\ 9x=165 \\ x=(165)/(9) \\ x=18(1)/(3)ft \end{gathered}`

The utility pole is 18 1/3rd feet.